Answer:
AP = RA = 1.5 cm
PB = BQ = 8.5 cm
QC = CR = 3.5 cm
Step-by-step explanation:
The distance from the vertex to the two nearest tangent points is the same. If we say the distance AP = RA = x, then PB = BQ = 10-x, and QC = CR = 5 -x.
Since we know
BQ +QC = 12
We can substitute the above expressions involving x to find what x is.
(10 -x) +(5 -x) = 12
15 -2x = 12
x = (15 -12)/2 = 1.5
This tells us ...
AP = RA = 1.5 cm
PB = BQ = 8.5 cm
QC = CR = 3.5 cm
Add the cost and divide by how many miles she drove:
1,600 + 2,134 / 1,400 =
3,734 / 1,400 = 2.66 (rounded to nearest decimal point)
So, Lynda paid roughly 2.66 per mile.
